PYC3704
Assignment 2
Unique No:733362
Due 19 November 2025
,Dear Student
This study letter contains answers and explanations of the correct options for each
question in Assignment 02. The questions in the two assignments and those at the end
of each topic in the Study Guide for PYC3704 should be used as part of your
preparation for the exam. We suggest that you try to do the questions from the Guide
and the assignments without looking up the answers. In this way you will see which
questions you can answer, and which ones you cannot answer. This will help you to
identify the difficult questions, and force you to rethink the reasons for the answers. Pay
special attention to the explanations we provide, since this will give you an indication of
the weak spots in your own understanding of the material in the Study Guide. Do not
attempt to memorise the questions and their answers. Rather try to understand the
explanations for the correct option in each question. If you did not receive pass marks
for the assignments, you will have to work much harder if you want to pass the exam.
, Question 1
In hypothesis testing, the first step is to calculate the test statistic. This value is then
used to determine the p-value, which is compared with the researcher’s chosen level of
significance (α). The outcome of this comparison indicates whether the null hypothesis
should be rejected.
Correct Answer: Option 1
Explanation: Hypothesis testing begins with computing the appropriate test
statistic. From this, the p-value is derived, often with the aid of statistical software
or probability tables. The p-value is then compared against the significance level
(α), which reflects the probability of committing a Type I error—rejecting a true
null hypothesis. If the p-value is less than α, the null hypothesis is rejected in
favour of the alternative.
Question 2
Two samples are regarded as dependent when the values in one sample are
systematically related to the values in the other, commonly seen in paired or matched
data.
Correct Answer: Option 3
Explanation: Dependent samples are characterised by a structured relationship
between observations, such as in before-and-after experiments or matched-
pair designs. Option 1 confuses dependence with correlation within a single
dataset. Option 2 (coming from the same population) does not necessarily imply
dependence, while Option 4 (randomness) usually suggests independence, not
dependence.
Question 3
Consider the following hypothesis test:
Assignment 2
Unique No:733362
Due 19 November 2025
,Dear Student
This study letter contains answers and explanations of the correct options for each
question in Assignment 02. The questions in the two assignments and those at the end
of each topic in the Study Guide for PYC3704 should be used as part of your
preparation for the exam. We suggest that you try to do the questions from the Guide
and the assignments without looking up the answers. In this way you will see which
questions you can answer, and which ones you cannot answer. This will help you to
identify the difficult questions, and force you to rethink the reasons for the answers. Pay
special attention to the explanations we provide, since this will give you an indication of
the weak spots in your own understanding of the material in the Study Guide. Do not
attempt to memorise the questions and their answers. Rather try to understand the
explanations for the correct option in each question. If you did not receive pass marks
for the assignments, you will have to work much harder if you want to pass the exam.
, Question 1
In hypothesis testing, the first step is to calculate the test statistic. This value is then
used to determine the p-value, which is compared with the researcher’s chosen level of
significance (α). The outcome of this comparison indicates whether the null hypothesis
should be rejected.
Correct Answer: Option 1
Explanation: Hypothesis testing begins with computing the appropriate test
statistic. From this, the p-value is derived, often with the aid of statistical software
or probability tables. The p-value is then compared against the significance level
(α), which reflects the probability of committing a Type I error—rejecting a true
null hypothesis. If the p-value is less than α, the null hypothesis is rejected in
favour of the alternative.
Question 2
Two samples are regarded as dependent when the values in one sample are
systematically related to the values in the other, commonly seen in paired or matched
data.
Correct Answer: Option 3
Explanation: Dependent samples are characterised by a structured relationship
between observations, such as in before-and-after experiments or matched-
pair designs. Option 1 confuses dependence with correlation within a single
dataset. Option 2 (coming from the same population) does not necessarily imply
dependence, while Option 4 (randomness) usually suggests independence, not
dependence.
Question 3
Consider the following hypothesis test:
